Triply charmed dibaryons in the one boson exchange model

Abstract

The pentaquark states, $P_c(4312)$, $P_c(4440)$ and $P_c(4450)$, can be nicely arranged into a multiplet of seven molecules of ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ dictated by heavy quark spin symmetry, while the ${\Xi }_{cc}^{(\ast )}{\Sigma }_c^{(\ast )}$ system can be related to the ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ system via heavy antiquark diquark symmetry. In this work we employ the one boson exchange model to study the interactions between ${\Xi }_{cc}^{(\ast )}$ and ${\Sigma }_c^{(\ast )}$ with constraints from the pentaquark system. We show that a multiplet of ten triply charmed dibaryons emerge naturally in the isospin-1/2 sector, while only three appear in the isospin-3/2 sector. In addition, we study their heavy quark flavor partners. Ten triply bottom diybaryons are found in the isospin-1/2 sector, while only nine are likely in the isospin-3/2 sector. Furthermore, the predicted mass splitting between the $0^{+}$ ${\Xi }_{cc}{\Sigma }_c$ state and its $1^{+}$ counterpart is found to be consistent with the correlation implied by heavy antiquark diquark symmetry recently pointed out in Pan $et$ $al$..

arXiv comment17 pages, 2 figures, 4 tables; matched to the published version

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Cited by in corpus (8)

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• Spectrum of the molecular hexaquarks
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• Doubly charmed dibaryon states
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